311313201040 has 40 divisors (see below), whose sum is σ = 730208551608. Its totient is φ = 123423283200.

The previous prime is 311313200953. The next prime is 311313201091. The reversal of 311313201040 is 40102313113.

It can be written as a sum of positive squares in 4 ways, for example, as 631818496 + 310681382544 = 25136^2 + 557388^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 311313200999 and 311313201017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17209611 + ... + 17227690.

Almost surely, 2^311313201040 is an apocalyptic number.

It is an amenable number.

311313201040 is an abundant number, since it is smaller than the sum of its proper divisors (418895350568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311313201040 is a wasteful number, since it uses less digits than its factorization.

311313201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34437427 (or 34437421 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 311313201040 its reverse (40102313113), we get a palindrome (351415514153).

The spelling of 311313201040 in words is "three hundred eleven billion, three hundred thirteen million, two hundred one thousand, forty".